(9x+10)=(15x-2)

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Solution for (9x+10)=(15x-2) equation:


Simplifying
(9x + 10) = (15x + -2)

Reorder the terms:
(10 + 9x) = (15x + -2)

Remove parenthesis around (10 + 9x)
10 + 9x = (15x + -2)

Reorder the terms:
10 + 9x = (-2 + 15x)

Remove parenthesis around (-2 + 15x)
10 + 9x = -2 + 15x

Solving
10 + 9x = -2 + 15x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-15x' to each side of the equation.
10 + 9x + -15x = -2 + 15x + -15x

Combine like terms: 9x + -15x = -6x
10 + -6x = -2 + 15x + -15x

Combine like terms: 15x + -15x = 0
10 + -6x = -2 + 0
10 + -6x = -2

Add '-10' to each side of the equation.
10 + -10 + -6x = -2 + -10

Combine like terms: 10 + -10 = 0
0 + -6x = -2 + -10
-6x = -2 + -10

Combine like terms: -2 + -10 = -12
-6x = -12

Divide each side by '-6'.
x = 2

Simplifying
x = 2

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